3 papers
math.CO2020
-knotted and -homogeneous triangulations of surfaces
Adam Tyc
A triangulation is called -knotted if it has a single zigzag (up to reversing). A -orientation on a triangulation is a minimal collection of zigzags which double covers the s…
math.CO2020
-oriented triangulations of surfaces
Adam Tyc
The main objects of the paper are -oriented triangulations of connected closed -dimensional surfaces. A -orientation of a map is a minimal collection of zigzags which doub…
math.CO2019
Triangulations with homogeneous zigzags
Mariusz Kwiatkowski, Mark Pankov, Adam Tyc
We investigate zigzags in triangulations of connected closed -dimensional surfaces and show that there is a one-to-one correspondence between triangulations with homogeneous zig…